Boys to girls

The ratio of boys to girls at a party is 3:5. If six more boys arrived and four girls left the party, the ratio of boys to girls would be 5:6. How many people were at the party initially?

Correct answer:

t =  64

Step-by-step explanation:

t=a+b a=3/5 b (a+6)=5/6 (b4)  a+bt=0 5a3b=0 6a5b=56  Pivot:Row1Row3 6a5b=56 5a3b=0 a+bt=0  Row265 Row1Row2 6a5b=56 1.167b=46.667 a+bt=0  Row361 Row1Row3 6a5b=56 1.167b=46.667 1.833bt=9.333  Pivot:Row2Row3 6a5b=56 1.833bt=9.333 1.167b=46.667  Row31.833333331.16666667 Row2Row3 6a5b=56 1.833bt=9.333 0.636t=40.727  t=0.6363636440.72727273=64 b=1.833333339.33333333+t=1.833333339.33333333+64=40 a=656+5b=656+5 40=24  a=24 b=40 t=64

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